338065241850 has 216 divisors, whose sum is σ = 1059661418400. Its totient is φ = 77270326560.

The previous prime is 338065241803. The next prime is 338065241879. The reversal of 338065241850 is 58142560833.

338065241850 is a `hidden beast` number, since 33 + 80 + 6 + 524 + 18 + 5 + 0 = 666.

It is a super-2 number, since 2×338065241850² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 338065241796 and 338065241805.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 7540801 + ... + 7585499.

It is an arithmetic number, because the mean of its divisors is an integer number (4905839900).

Almost surely, 2^338065241850 is an apocalyptic number.

338065241850 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 338065241850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529830709200).

338065241850 is an abundant number, since it is smaller than the sum of its proper divisors (721596176550).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

338065241850 is an equidigital number, since it uses as much as digits as its factorization.

338065241850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44752 (or 44716 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 338065241850 in words is "three hundred thirty-eight billion, sixty-five million, two hundred forty-one thousand, eight hundred fifty".